Меню
КартаВръзкиТемиБългарияНощта (K-TRIO)Мария Склодовска-КюриЗа ученициЗа учителиМетодологияИзненадай ме
HEДокторантска мрежа2024–2028

TENORS · Tensor modEliNg, geOmetRy and optimiSation

„Хоризонт Европа“ — Действия „Мария Склодовска-Кюри“

Период
2024-01-01 → 2028-04-30
Финансиране от ЕС
4 049 582 €
Участници
21
Схема
HORIZON-TMA-MSCA-DN-JD

Линиите свързват координатора с партньорите. За проекти отпреди 2014 г. CORDIS не винаги дава точни координати. Тези точки са на ниво град или държава.

Накратко на български

Тензорното моделиране изследва сложни математически структури, които помагат за по-бързото решаване на уравнения във физиката и финансите. Тези методи подобряват анализа на квантови системи и оптимизират изчисленията при работа с големи масиви от данни.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Tensor modEliNg, geOmetRy and optimiSation

For the first 24 months of the project, the project has been implemented in line with the overall objectives. In terms of theoretical advances, we have had new results on the study of tensor spaces (objective 1), including generalized additive decomposition, Segre–Veronese varieties, and q-symmetric tensors, on high performance tensor computation (objective 2) such as the development of new tools for cactus rank computation, for polynomial optimization, exploiting tensor invariants, low-rank approximations for PDEs, and low rank structures in semidefinite programming. The advances on new applications of tensors methods (objective 3) include the applications of network methods for quantum systems, improved techniques for quantum separability analysis, and scalable approaches to semidefinite problems in physics and finance. Regarding the training and collaboration (objective 4), we have had successful completion of all planned events, including training activities and industrial secondments. The technological, economical and societal impact of the project (objective 5) is in progress but without quantitative measurements yet. Overall, the project performance in the first 24 months have obtained strong scientific output with activities fully on schedule and aligned with project objectives.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

TENORS aims to form the next generation of researchers and engineers in scientific computing and data analysis, disrupting the current paradigms of tensor calculus by exploiting cutting-edge research in geometry and optimisation. Tensors are nowadays ubiquitous in many domains of applied mathematics, computer science, signal processing, data processing, machine learning and in the emerging area of quantum computing. The demand for highly trained scientists with a deep understanding of tensor methods and with advanced knowledge in the geometry of tensor spaces, with skills on the design of efficient algorithms and software handling tensor computation and in the applications of high performance tensor computation is raising, in many fields including machine learning and quantum computation, which are nowadays expanding very quickly.TENORS contributes to satisfy this demand by fostering scientific and technological advances in the area of tensor sciences, stimulating interdisciplinary and intersectoriality knowledge exchange between algebraists, geometers, computer scientists, numerical analysts, data analysts, physicists, quantum scientists, and industrial actors facing real-life tensor-based problems, in a network of PhD students at its core.A unique strength of the network is to gather top-researchers of these different domains. TENORS will train young scientists in academy or industry in how to exploit the best of these techniques efficiently and disseminate this knowledge to industry. As a truly multidisciplinary network, TENORS will at the same time seek to apply these new techniques to real-life applications thanks to the industrial actors involved in the network.

Оригинален текст от CORDIS (на английски).

Участници

Връзки

Данни: CORDIS, © Европейски съюз